Recursion Theory And Computational Complexity PDF Download
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Author | : G. Lolli |
Publisher | : Springer Science & Business Media |
Total Pages | : 228 |
Release | : 2011-06-17 |
Genre | : Mathematics |
ISBN | : 364211072X |
Download Recursion Theory and Computational Complexity Book in PDF, ePub and Kindle
S. Homer: Admissible recursion theory.- B.E. Jacobs: Computational complexity and recursion theory.- D. Normann: A survey of set recursion.- G.E. Sacks: Priority arguments in Higgler recursion.- R.I. Soare: Construction in the recursively enumerable degrees.- W. Maass: Recursively invariant recursion theory.
Author | : G. Lolli |
Publisher | : |
Total Pages | : 242 |
Release | : 2011-03-30 |
Genre | : |
ISBN | : 9783642110757 |
Download Recursion Theory and Computational Complexity Book in PDF, ePub and Kindle
Author | : Gabriele Lolli |
Publisher | : |
Total Pages | : |
Release | : 1981 |
Genre | : |
ISBN | : |
Download Recursion Theory and Computational Complexity Book in PDF, ePub and Kindle
Author | : Cyrus F. Nourani |
Publisher | : Apple Academic Press |
Total Pages | : 0 |
Release | : 2015-11-30 |
Genre | : Mathematics |
ISBN | : 9781771882477 |
Download Algebraic Computability and Enumeration Models Book in PDF, ePub and Kindle
This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models, with Kleene algebra examples for languages. Functorial models for Peano arithmetic are described toward important computational complexity areas on a Hilbert program, leading to computability with initial models. Infinite language categories are also introduced to explain descriptive complexity with recursive computability with admissible sets and urelements. Algebraic and categorical realizability is staged on several levels, addressing new computability questions with omitting types realizably. Further applications to computing with ultrafilters on sets and Turing degree computability are examined. Functorial models computability is presented with algebraic trees realizing intuitionistic types of models. New homotopy techniques are applied to Marin Lof types of computations with model categories. Functorial computability, induction, and recursion are examined in view of the above, presenting new computability techniques with monad transformations and projective sets. This informative volume will give readers a complete new feel for models, computability, recursion sets, complexity, and realizability. This book pulls together functorial thoughts, models, computability, sets, recursion, arithmetic hierarchy, filters, with real tree computing areas, presented in a very intuitive manner for university teaching, with exercises for every chapter. The book will also prove valuable for faculty in computer science and mathematics.
Author | : Sanjeev Arora |
Publisher | : Cambridge University Press |
Total Pages | : 609 |
Release | : 2009-04-20 |
Genre | : Computers |
ISBN | : 0521424267 |
Download Computational Complexity Book in PDF, ePub and Kindle
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Author | : Chi Tat Chong |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 409 |
Release | : 2015-08-17 |
Genre | : Mathematics |
ISBN | : 311038129X |
Download Recursion Theory Book in PDF, ePub and Kindle
This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory. The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.
Author | : University of Maryland at College Park. Computer Science Center |
Publisher | : |
Total Pages | : |
Release | : 1979 |
Genre | : |
ISBN | : |
Download Computational Complexity and Recursion Theory Book in PDF, ePub and Kindle
Author | : G. Lolli |
Publisher | : Springer |
Total Pages | : 236 |
Release | : 2010-11-30 |
Genre | : Mathematics |
ISBN | : 9783642110719 |
Download Recursion Theory and Computational Complexity Book in PDF, ePub and Kindle
S. Homer: Admissible recursion theory.- B.E. Jacobs: Computational complexity and recursion theory.- D. Normann: A survey of set recursion.- G.E. Sacks: Priority arguments in Higgler recursion.- R.I. Soare: Construction in the recursively enumerable degrees.- W. Maass: Recursively invariant recursion theory.
Author | : Borut Robič |
Publisher | : Springer |
Total Pages | : 341 |
Release | : 2015-09-14 |
Genre | : Computers |
ISBN | : 3662448084 |
Download The Foundations of Computability Theory Book in PDF, ePub and Kindle
This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism; in Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early successes such as defining incomputable problems, c.e. (computably enumerable) sets, and developing methods for proving incomputability; in Part III he explains relative computability, with chapters on computation with external help, degrees of unsolvability, the Turing hierarchy of unsolvability, the class of degrees of unsolvability, c.e. degrees and the priority method, and the arithmetical hierarchy. This is a gentle introduction from the origins of computability theory up to current research, and it will be of value as a textbook and guide for advanced undergraduate and graduate students and researchers in the domains of computability theory and theoretical computer science.
Author | : Dexter C. Kozen |
Publisher | : Springer Science & Business Media |
Total Pages | : 423 |
Release | : 2006-09-19 |
Genre | : Computers |
ISBN | : 1846284775 |
Download Theory of Computation Book in PDF, ePub and Kindle
This textbook is uniquely written with dual purpose. It cover cores material in the foundations of computing for graduate students in computer science and also provides an introduction to some more advanced topics for those intending further study in the area. This innovative text focuses primarily on computational complexity theory: the classification of computational problems in terms of their inherent complexity. The book contains an invaluable collection of lectures for first-year graduates on the theory of computation. Topics and features include more than 40 lectures for first year graduate students, and a dozen homework sets and exercises.